A mechanistic model for permeability evolution in fractured sorbing media

Journal of Geophysical Research: Solid Earth

Volumn 117, Issue 6, 2012, Pages

  Wang, Shugang ^a   Elsworth, Derek ^a   Liu, Jishan ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COAL RANK; COAL SEAM; FRACTURED MEDIUM; GAS WELL; OBSERVATIONAL METHOD; PARAMETERIZATION; PERMEABILITY; PORE PRESSURE; POROSITY; PRESSURE EFFECT; SHALE; STIFFNESS; SWELLING;

EID: 84862508730     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2011JB008855     Document Type: Article

References (72)

1. Bai, M., and D. Elsworth (1994), Modeling of subsidence and stressdependent hydraulic conductivity for intact and fractured porous media, Rock Mech. Rock Eng., 27(4), 209-234, doi:10.1007/BF01020200.
2. Bai, M., and D. Elsworth (2000), Coupled Processes in Subsurface Deformation, Flow, and Transport, 336 pp., Am. Soc. of Civ. Eng., Reston, Va.
3. Bandis, S. C., A. C. Lumsden, and N. R. Barton (1983), Fundamentals of rock joint deformation, Int. J. Mech. Min. Sci. Geomech. Abstr., 20(6), 249-268, doi:10.1016/0148-9062(83)90595-8.
4. Beamish, B. B., and P. J. Crosdale (1998), Instantaneous outbursts in underground coal mines: An overview and association with coal type, Int. J. Coal Geol., 35(1-4), 27-55, doi:10.1016/S0166-5162(97)00036-0.
5. Biot, M. A., and D. G. Willis (1957), The elastic coefficients of the theory of consolidation, J. Appl. Mech., 24, 594-601.
6. 2 injectivity under in situ stress conditions, Int. J. Coal Geol., 81(2), 97-108, doi:10.1016/j.coal.2009.11.009.
7. Chen, Z., Z. Pan, J. Liu, L. D. Connell, and D. Elsworth (2011), Effect of the effective stress coefficient and sorption-induced strain on the evolution of coal permeability: Experimental observations, Int. J. Greenh. Gas Control, 5(5), 1284-1293, doi:10.1016/j.ijggc.2011.07.005.
8. Clarkson, C., Z. Pan, I. Palmer, and S. Harpalani (2008), Predicting sorption induced strain and permeability increase with depletion for CBM reservoirs, paper presented at Annual Technical Conference and Exhibition, Soc. of Pet. Eng., Denver, Colo., 21-24 Sept.
9. Connell, L. D., M. Lu, and Z. Pan (2010), An analytical coal permeability model for tri-axial strain and stress conditions, Int. J. Coal Geol., 84(2), 103-114, doi:10.1016/j.coal.2010.08.011.
10. Cook, N. G. W. (1992), Natural joints in rock: Mechanical, hydraulic and seismic behaviour and properties under normal stress, Int. J. Mech. Min. Sci. Geomech. Abstr., 29(3), 198-223, doi:10.1016/0148-9062(92) 93656-5.
11. Cui, X. J., and R. M. Bustin (2005), Volumetric strain associated with methane desorption and its impact on coalbed gas production from deep coal seams, AAPG Bull., 89(9), 1181-1202, doi:10.1306/05110504114.
12. Cui, X., R. M. Bustin, and L. Chikatamarla (2007), Adsorption-induced coal swelling and stress: Implications for methane production and acid gas sequestration into coal seams, J. Geophys. Res., 112, B10202, doi:10.1029/2004JB003482.
13. 2, Int. J. Coal Geol., 74(1), 41-52, doi:10.1016/j.coal.2007.09.006.
14. Detournay, E., A. H. D. Cheng, J. C. Roegiers, and J. D. McLennan (1989), Poroelasticity considerations in in situ stress determination by hydraulic fracturing, Int. J. Mech. Min. Sci. Geomech. Abstr., 26(6), 507-513, doi:10.1016/0148-9062(89)91428-9.
15. Durucan, S., and J. S. Edwards (1986), The effects of stress and fracturing on permeability of coal, Min. Sci. Technol., 3(3), 205-216, doi:10.1016/S0167-9031(86)90357-9.
16. Elsworth, D. (1989), Thermal permeability enhancement of blocky rocks: One-dimensional flows, Int. J. Mech. Min. Sci. Geomech. Abstr., 26(3-4), 329-339, doi:10.1016/0148-9062(89)91981-5.
17. Elsworth, D., and M. Bai (1992), Flow-deformation response of dual porosity media, J. Geotech. Eng., 118(1), 107-124, doi:10.1061/(ASCE)0733- 9410(1992)118:1(107
18. Elsworth, D., and R. E. Goodman (1986), Characterization of rock fissure hydraulic conductivity using idealized wall roughness profiles, Int. J. Mech. Min. Sci. Geomech. Abstr., 23(3), 233-243, doi:10.1016/0148-9062(86)90969-1.
19. 2-ECBM field tests in the Ishikari coal Basin of Japan, Int. J. Coal Geol., 82(3-4), 287-298, doi:10.1016/j.coal.2010.01.004.
20. Gierhart, R., C. Clarkson, and J. Seidle (2007), Spatial variation of San Juan basin fruitland coalbed methane pressure dependent permeability: Magnitude and functional form, paper presented at International Petroleum Technology Conference, China Nat. Pet. Corp., Dubai, 4-6 Dec.
21. Goodman, R. E. (1976), Methods of Geological Engineering in Discontinuous Rocks, 472 pp., West, New York.
22. Gunter, W. D., T. Gentzis, B. A. Rottenfusser, and R. J. H. Richardson (1997), Deep coalbed methane in Alberta, Canada: A fuel resource with the potential of zero greenhouse gas emissions, Energy Convers. Manage., 38, Suppl. 1, S217-S222, doi:10.1016/S0196-8904(96)00272-5.
23. Harpalani, S., and G. Chen (1997), Influence of gas production induced volumetric strain on permeability of coal, Geotech. Geol. Eng., 15(4), 303-325, doi:10.1007/BF00880711.
24. Harpalani, S., and R. A. Schraufnagel (1990), Shrinkage of coal matrix with release of gas and its impact on permeability of coal, Fuel, 69(5), 551-556, doi:10.1016/0016-2361(90)90137-F.
25. Hart, D. J., and H. F. Wang (1995), Laboratory measurements of a complete set of poroelastic moduli for Berea sandstone and Indiana limestone, J. Geophys. Res., 100(B9), 17,741-17,751.
26. Izadi, G., S. Wang, D. Elsworth, J. Liu, Y. Wu, and D. Pone (2011), Permeability evolution of fluid-infiltrated coal containing discrete fractures, Int. J. Coal Geol., 85(2), 202-211, doi:10.1016/j.coal.2010.10.006.
27. Jaeger, J. C., et al. (2007), Fundamentals of Rock Mechanics, 4th ed., 475 pp., Blackwell, Malden, Mass.
28. 2 injection, Energy Fuels, 17(6), 1595-1608, doi:10.1021/ef0301349.
29. 2 sorption, Int. J. Coal Geol., 72(3-4), 209-220, doi:10.1016/j.coal.2007.01.003.
30. Karacan, C. O., and E. Okandan (2001), Adsorption and gas transport in coal microstructure: Investigation and evaluation by quantitative X-ray CT imaging, Fuel, 80(4), 509-520, doi:10.1016/S0016-2361(00)00112-5.
31. Langmuir, I. (1918), The adsorption of gases on plane surfaces of glass, mica, and platinum, J. Am. Chem. Soc., 40, 1361-1403, doi:10.1021/ja02242a004.
32. Levine, J. (1996), Model study of the influence of matrix shrinkage on absolute permeability of coal bed reservoirs, in Coalbed Methane and Coal Geology, Geol. Soc. Spec. Publ., vol. 109, edited by R. A. Gayer and I. Harris, 197-212.
33. Liu, H.-H., and J. Rutqvist (2010), A new coal-permeability model: Internal swelling stress and fracture-matrix interaction, Transp. Porous Media, 82(1), 157-171, doi:10.1007/s11242-009-9442-x.
34. Liu, J., and D. Elsworth (1997), Three-dimensional effects of hydraulic conductivity enhancement and desaturation around mined panels, Int. J. Rock Mech. Min. Sci., 34(8), 1139-1152, doi:10.1016/S1365-1609(97)80067-6.
35. Liu, J., J. Wang, Z. Chen, S. Wang, D. Elsworth, and Y. Jiang (2011a), Impact of transition from local swelling to macro swelling on the evolution of coal permeability, Int. J. Coal Geol., 88(1), 31-40, doi:10.1016/j.coal.2011.07. 008.
36. Liu, J., Z. Chen, D. Elsworth, H. Qu, and D. Chen (2011b), Interactions of multiple processes during CBM extraction: A critical review, Int. J. Coal Geol., 87(3-4), 175-189, doi:10.1016/j.coal.2011.06.004.
37. Liu, J., Z. Chen, D. Elsworth, X. Miao, and X. Mao (2011c), Evolution of coal permeability from stress-controlled to displacement-controlled swelling conditions, Fuel, 90(10), 2987-2997, doi:10.1016/j.fuel.2011.04.032.
38. 2 injection for ECBM, Int. J. Coal Geol., 74(2), 123-138, doi:10.1016/j.coal.2007.11.001.
39. Murdoch, L. C., and L. N. Germanovich (2006), Analysis of a deformable fracture in permeable material, Int. J. Numer. Anal. Methods Geomech., 30(6), 529-561, doi:10.1002/nag.492.
40. Nur, A., and J. D. Byerlee (1971), Exact effective stress law for elastic deformation of rock with fluids, J. Geophys. Res., 76(26), 6414-6419, doi:10.1029/JB076i026p06414.
41. Ouyang, Z., and D. Elsworth (1993), Evaluation of groundwater flow into mined panels, Int. J. Mech. Min. Sci. Geomech. Abstr., 30(2), 71-79, doi:10.1016/0148-9062(93)90701-E.
42. Palmer, I. (2009), Permeability changes in coal: Analytical modeling, Int. J. Coal Geol., 77(1-2), 119-126, doi:10.1016/j.coal.2008.09.006.
43. Palmer, I., and J. Mansoori (1996), How permeability depends on stress and pore pressure in coalbeds: A new model, paper presented at Annual Technical Conference and Exhibition, Soc. of Pet. Engineer, Denver, Colo., 6-9 Oct.
44. Palmer, D., J. C. Cameron, and Z. A. Moschovidis (2006), Permeability changes affect CBM production predictions, Oil Gas J., 104(28), 43-50.
45. Pan, Z., and L. D. Connell (2007), A theoretical model for gas adsorptioninduced coal swelling, Int. J. Coal Geol., 69(4), 243-252, doi:10.1016/j.coal.2006.04.006.
46. Pan, Z., and L. D. Connell (2012), Modelling permeability for coal reservoirs: A review of analytical models and testing data, Int. J. Coal Geol., 92(0), 1-44, doi:10.1016/j.coal.2011.12.009.
47. Pan, Z., L. D. Connell, and M. Camilleri (2010), Laboratory characterization of coal reservoir permeability for primary and enhanced coalbed methane recovery, Int. J. Coal Geol., 82(3-4), 252-261, doi:10.1016/j. coal.2009.10.019.
48. Pekot, L. J., and S. R. Reeves (2002), Modeling the effects of matrix shrinkage and differential swelling on coalbed methane recovery and carbon sequestration, Rep. DE-FC26-00NT40924, U.S. Dep. of Energy, Houston, Tex.
49. Piggott, A. R., and D. Elsworth (1993), Laboratory assessment of the equivalent apertures of a rock fracture, Geophys. Res. Lett., 20(13), 1387-1390, doi:10.1029/93GL01384.
50. Pini, R., S. Ottiger, L. Burlini, G. Storti, and M. Mazzotti (2009), Role of adsorption and swelling on the dynamics of gas injection in coal, J. Geophys. Res., 114, B04203, doi:10.1029/2008JB005961.
51. Pyrak-Nolte, L. J., and J. P. Morris (2000), Single fractures under normal stress: The relation between fracture specific stiffness and fluid flow, Int. J. Rock Mech. Min. Sci., 37(1-2), 245-262, doi:10.1016/S1365-1609(99)00104- 5.
52. Pyrak-Nolte, L. J., L. R. Myer, N. G. W. Cook, and P. A. Witherspoon (1987), Hydraulic and mechanical properties of natural fractures in low permeability rock, in Proceedings of the Sixth International Congress on Rock Mechanics, Montreal, Canada, pp. 225-231, Balkema, Rotterdam, Netherlands.
53. Rice, J. R., and M. P. Cleary (1976), Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents, Rev. Geophys., 14(2), 227-241, doi:10.1029/RG014i002p00227.
54. Robertson, E. P., and R. L. Christiansen (2007), Modeling laboratory permeability in coal using sorption-induced-strain data, SPE Reservoir Eval. Eng., 10(3), 260-269, doi:10.2118/97068-PA.
55. Rutqvist, J., and O. Stephansson (2003), The role of hydromechanical coupling in fractured rock engineering, Hydrogeol. J., 11(1), 7-40, doi:10.1007/s10040-002-0241-5.
56. Rutqvist, J., O. Stephansson, and C. F. Tsang (1997), Hydraulic field measurements of incompletely closed fractures in granite, Int. J. Rock Mech. Min. Sci. Geomech. Abst., 34(3-4), 411, doi:10.1016/S0148-9062(97) 00237.4.
57. Schmitt, D. R., and M. D. Zoback (1989), Poroelastic effects in the determination of the maximum horizontal principal stress in hydraulic fracturing tests-A proposed breakdown equation employing a modified effective stress relation for tensile failure, Int. J. Rock Mech. Min. Sci. Geomech. Abst., 26(6), 499-506, doi:10.1016/0148-9062(89)91427-7.
58. Seidle, J. P., and L. G. Huitt (1995), Experimental measurements of coal matrix shrinkage due to gas desorption and implications for cleat permeability increases, paper presented at International Meeting on Petroleum Engineering, Soc. of Pet. Eng., Beijing, 14-17 Nov.
59. Shi, J. Q., and S. Durucan (2005), A model for changes in coalbed permeability during primary and enhanced methane recovery, SPE Reservoir Eval. Eng., 8(4), 291-299, doi:10.2118/87230-PA.
60. Siriwardane, H., I. Haljasmaa, R. McLendon, G. Irdi, Y. Soong, and G. Bromhal (2009), Influence of carbon dioxide on coal permeability determined by pressure transient methods, Int. J. Coal Geol., 77(1-2), 109-118, doi:10.1016/j.coal.2008.08.006.
61. Somerton, W. H., I. M. Soylemezoglu, and R. C. Dudley (1975), Effect of stress on permeability of coal, Int. J. Mech. Min. Sci. Geomech. Abstr., 12(5-6), 129-145, doi:10.1016/0148-9062(75)91244-9.
62. 2 sequestration, Int. J. Coal Geol., 66(3), 204-216, doi:10.1016/j.coal.2005.09.002.
63. Walsh, J. B. (1981), Effect of pore pressure and confining pressure on fracture permeability, Int. J. Mech. Min. Sci. Geomech. Abstr., 18(5), 429-435, doi:10.1016/0148-9062(81)90006-1.
64. Walsh, J. B., and M. A. Grosenbaugh (1979), A new model for analyzing the effect of fractures on compressibility, J. Geophys. Res., 84(B7), 3532-3536, doi:10.1029/JB084iB07p03532.
65. Wang, S., D. Elsworth, and J. Liu (2011), Permeability evolution in fractured coal: The roles of fracture geometry and water-content, Int. J. Coal Geol., 87(1), 13-25, doi:10.1016/j.coal.2011.04.009.
66. Warren, J. E., and P. J. Root (1963), The behavior of naturally fractured reservoirs, Soc. Pet. Eng. J., 3(3), 245-255.
67. White, C. M., et al. (2005), Sequestration of carbon dioxide in coal with enhanced coalbed methane recovery: A review, Energy Fuels, 19(3), 659-724, doi:10.1021/ef040047w.
68. Witherspoon, P. A., J. S. Y. Wang, K. Iwai, and J. E. Gale (1980), Validity of cubic law for fluid flow in a deformable rock fracture, Water Resour. Res., 16(6), 1016-1024, doi:10.1029/WR016i006p01016.
69. Yangsheng, Z., H. Yaoqing, W. Jingping, and Y. Dong (2003), The experimental Approach to effective stress law of coal mass by effect of methane, Transp. Porous Media, 53(3), 235-244, doi:10.1023/A:1025080525725.
70. Zhang, H., J. Liu, and D. Elsworth (2008), How sorption-induced matrix deformation affects gas flow in coal seams: A new FE model, Int. J. Rock Mech. Min. Sci., 45(8), 1226-1236, doi:10.1016/j.ijrmms.2007.11.007.
71. Zimmerman, R. W., and G. S. Bodvarsson (1996), Hydraulic conductivity of rock fractures, Transp. Porous Media, 23(1), 1-30, doi:10.1007/BF00145263.
72. Zimmerman, R. W., D.-W. Chen, and N. G. W. Cook (1992), The effect of contact area on the permeability of fractures, J. Hydrol., 139(1-4), 79-96, doi:10.1016/0022-1694(92)90196-3.